The Second Painlevé Transcendent: A Nonlinear Airy Function
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Elsevier
Reference8 articles.
1. Ordinary Differential Equations;Ince,1944
2. “The Similarity Solution for the Korteweg–de Vries Equation and the Related Painlevé Transcendent,”;Rosales;Proc. Roy. Soc. London A,1978
3. “On the second Painlevé Transcendent,”;Miles;Proc. Roy. Soc. London A,1978
4. “Exact Linearization of a Painlevé Transcendent,”;Ablowitz;Phys. Rev. Lett.,1977
5. “Asymptotic Solutions of Nonlinear Second Order Differential Equations with Variable Coefficients,”;Kuzmak;J. Appl. Math. Mech.,1959
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1. An efficient numerical treatment for the asymptotic behaviour of the nonlinear Airy-type problems;Journal of Computational and Applied Mathematics;2020-09
2. Numerical study of the asymptotics of the second Painlevé equation by a functional fitting method;Mathematical Methods in the Applied Sciences;2013-02-14
3. Painlevé equations—nonlinear special functions;Journal of Computational and Applied Mathematics;2003-04
4. The Painlevé-Kowalevski and Poly-Painlevé Tests for Integrability;Studies in Applied Mathematics;1992-02
5. Integral Equations and Connection Formulae for the Painlevé Equations;Painlevé Transcendents;1992
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